Usually means: Non-Euclidean geometry with constant curvature.
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We found 5 dictionaries that define the word hyperbolic plane:

General (2 matching dictionaries)
  1. hyperbolic plane: Wiktionary
  2. Hyperbolic plane (quadratic forms), Hyperbolic plane: Wikipedia, the Free Encyclopedia

Computing (1 matching dictionary)
  1. hyperbolic plane: Encyclopedia

Science (2 matching dictionaries)
  1. Hyperbolic Plane: Eric Weisstein's World of Mathematics
  2. hyperbolic plane: PlanetMath Encyclopedia

Definitions from Wiktionary (hyperbolic plane)

noun:  (mathematics) A topological space homeomorphic to a plane (or open disk) and equipped with a hyperbolic metric.

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